What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5?
Answer:
y=6/5x-8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
Since we are already given the slope of the line, we can immediately plug it into the equation:
y=6/5x+b
Now we need to find b
Since the equation passes through the point (5, -2), we can use it to solve for b
Substitute 5 as x and -2 as y:
-2=6/5(5)+b
Multiply
-2=6+b
Subtract 6 from both sides
-8=b
Substitute -8 as b.
y=6/5x-8
Hope this helps!
On Wednesday and Thursday a total of 36 vinal records were sold. The number of records sold on Thursday is eight times the amount of records sold on Wednesday
Answer:
Wed: 4
Thurs: 32
Step-by-step explanation:
4 x 8 = 32
32 +4 =36
does anyone know how to solve literal equations because I don’t :(
The resulting expression after expansion is 110x - 1200
Given the function P(x) = 140x - (30x + 1200)
To solve the literal equation, we will have to simply expand the bracket using the distributive law.
According to the law a(b+c) = ab+ac
You can see that a was distributed over "b" and "c"
For the expression, we will distribute -1 over 30x and 1300 to have;
P(x) = 140x -(30x) - (+1200)
P(x) = 140x - 30x - 1200
P(x) = 110x - 1200
Hence the resulting expression after the expansion is 110x - 1200
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Hey guys could someone help me please?
please i need this asap!!
thanks so much omgg
Answer:
convert the grams to kg
500g = 0.5
100g = 0.1
divide cost by quantity
7.49 / 1 = 7.49$ per bag
3.99 / 0.5 = 7.98$ per bag
0.79/0.1 = 7.9$ per bag
the cheapest is $7.49 which is 1kg bag of flour for 7.49$, that will be your answer
when the product (3x-2) (2x^2 + 7x-1) is found,
what is the coefficient of the linear term?
The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11
Given the functions (3x-2) (2x^2 + 7x-1)
Taking the product of the functions will give:
(3x-2) (2x^2 + 7x-1) = 3x(2x^2) + 3x(7x) + 3x - 4x^2 - 14x + 2
(3x-2) (2x^2 + 7x-1) = 6x^3+21x^2 -11x - 4x^2 + 2
(3x-2) (2x^2 + 7x-1) =6x^3+17x^2 - 11x + 2
The linear term is the term with a degree of 1, hence the coefficient of the linear term is -11
Learn more here: https://brainly.com/question/19005279
Which of the following is not a function? Click on the graph until the correct graph appears.
Answer: The first/ third one
Step-by-step explanation:
The larger of two numbers is one more than four times the smaller number. if the
sum of the numbers is 106, find the numbers.
A. 21,85
B. 51,55
C. 31,75
D. 25,81
Step-by-step explanation:
The larger of two numbers is one more than four times it the smaller.The sum is 106 it means when you add 21+85 you've got the sum 106 definitely correct answer.EMERGENCY!! PLEASE HELP ME IMMEDIATLEY PLEASE!!!PLEASE HELP MEEEE!!!!
Answer: x=-5
The line is only at one x-value. The ine x- aloe the lien is at is -5. So, the equation is x=-5.
Which of the graphs represents the solution. Please answer this question asap!
Step-by-step explanation:
-8 < -4x ≤ 12
-8/-4 < x ≤ 12/-4
2 < x ≤ -3
x ≤ -3 or x > 2
Option → A
100 points if u get this right ty have a nice day !
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
An Uber driver charges a flat fee of $5.50, plus $1.50 per mile. Which of the following equations
represents the total cost y of a ride that is x miles long.
Answer:
y = 1.50x + 5.50
Step-by-step explanation:
Which number is equal to √45 rounded to the nearest tenth?
Answer:
6.71
Step-by-step explanation:
PLEASEEEE I NEEED HEEELPPP THIS IS AND A SUBTRACT INTEGERS BUT I DON’T UNDERSTAND
Answer:
-5
Step-by-step explanation:
Subtracting a negative is just like adding a positive. A way to think about this is that the negative cancel each other out are you left with a positive number.
You can rewrite this as -87 + 82.
Then, you solve and get -5.
Answer:
-5
Step-by-step explanation:
When you are subtracting a negative number, it is the same as adding a positive. We can re-write the expression as:
-87 + 82
When adding a negative and positive number, the one with the larger absolute value controls what sign the sum has. In this case the sum would be negative because 87 > 82. Also, we would subtract these absolute values: 87-82 = 5. This has to be negative, meaning the answer is -5.
what is 1 1/2 x 2 + 3/4 x 2?
Write the equation for the line that goes through point (, ) with slope = −2
slope = −2
Once you know the slope of the line, plug it in for m in y = mx +
Step-by-step explanation:
f(x)=4x+11 If f(x) = -1 what is the value of x
Answer:
Since both equations equal to f(x), you can set 4x+11 equal to -1 and solve for x.
4x+11=-1
Subtract 11 from both sides.
4x=-12
Divide both sides by 4.
x=-3
:)
Find the value of x.
Can someone help me with this I don't get it
Find the distance from point A to the given line.
1. A(−1, 7), y = 3x
and
2. A ( − 1 — 4 , 5 ), −x + 2y = 14
Answer:
The shortest distance from a point to a line is the perpendicular from the line to the point
The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;
-x + 2·y = 14
2·y = 14 + x
y = 14/2 + x/2 = x/2 + 7
y = x/2 + 7
The slope, m₁ = 1/2 and the y-intercept = 7
Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2
Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2
The equation of the line is therefore;
y - 5 = -2(x - (-1/4))
y - 5 = -2·x - 1/2
y = -2·x - 1/2 + 5 = -2·x + 9/2
y = -2·x + 9/2
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;
-2·x + 9/2 = x/2 + 7
9/2 - 7= x/2 + 2·x
-2.5 = 2.5·x
x = -2.5/2.5 = -1
x = -1
y = x/2 + 7 = -1/2 + 7 = 6.5
y = 6.5
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)
The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;
Where;
(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)
Plugging in the values, we have;
Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.
which equation represents the line that is parallel to 5x+y=13
SEND HELP PLEASE I BEG YOU
Answer:
Linear function, zero slope
Step-by-step explanation:
Definition of a horizontal lineA horizontal line neither rises nor falls and has a zero slope. Hence, the equation y = mx + b becomes y = b, where b is the y-intercept. The selected option for the equation of the given graph is correct, that y = 5.
Definition of a functionA function is a relation where any x-coordinate cannot be paired with more than one y-coordiante. Consequently, if a graph contains two or more different points with the same first coordinate, the graph cannot represent a function.
Vertical line testA great way to test whether a given graph represents a function is by performing the vertical line test. The vertical line test states that if each vertical line drawn intersects the graph at exactly one point, then the relation is a function.
Attached is an edited screenshot of the given graph, showing the results of the vertical line test. The given graph is a function since each vertical line crosses the graph at most once. This implies that each x-coordinate corresponds to exactly one y-coordinate.
Therefore, the given graph represents a linear function with a zero slope.
Two angles of a triangle are 40° and 30°. What type of a triangle can it be?
Hint: The sum of the interior angles of a triangle is 180 degrees.
(The general formula (n-2)*180.) Do the calculations to find the missing angle of triangle.
hello I need help please?
Answer: about a 13% increase
Step-by-step explanation:
2750/3162.50 is 0.87 so the profit before was 87% of what it is now
1-0.87 is 0.13 so it increased by 13%
This graph shows how the total number of appetizer recipes Jonathan knows depends on the number of weeks he attends Appetizer recipes Jonathan knows Number of appellzer recipes Number of weeks Write the constant of variation of the above graph in the empty box. Answer: appetizers per week.
PLEASE HELP ME!! Find the unit rate of y= -4x. Explain how you came up with the answer.
Answer:
The unit rate is -4
Step-by-step explanation:
For each increase of 1 unit in x there is a change of -4 in y
Hurry & help me out for a Brainlist but please add explanation
Answer:
i cant really understand what its asking but heres how to do it,
Step-by-step explanation:
you want to plug the y, either 36 56 or 76 into where it says y=
then you do the same with the corresponding x intercept and then do basic algebra
Given a set of data with mean of 12 and variance of 84. When each of the data is added with p and multiply with q, the new mean is 51 and the new variance is 756. Find the value of p and of q.
Applying statistical concepts, it is found that the values are:
p = -11.37q = 81When a constant is added to each data in a variable:
The mean is incremented by this constant.The variance remains constant.When a constant is multiplied to each data in a variable:
The mean is multiplied by this constant.The variance is multiplied by the square of this constantHence, mean of 12, added with p and multiplied with q, for a mean of 51:
[tex](12 + p)q = 51[/tex]
Variance of 84, after the operations, 756:
[tex]84\sqrt{q} =756[/tex]
[tex]\sqrt{q} = \frac{756}{84}[/tex]
[tex]\sqrt{q} = 9[/tex]
[tex](\sqrt{q})^2 = 9^2[/tex]
[tex]q = 81[/tex]
For p:
[tex](12 + p)q = 51[/tex]
[tex](12 + p)81 = 51[/tex]
[tex]12 + p = \frac{51}{81}[/tex]
[tex]12 + p = 0.63[/tex]
[tex]p = -11.37[/tex]
A similar problem is given at https://brainly.com/question/24097242
FIRST TO ANSWER CORRECTLY GETS BRAINLIEST
Answer:
d
Step-by-step explanation:
Pls help ive been stuck on this for hours
Answer:
B. -3.5; the rate at which Rachel's distance is changing per hour.
Step-by-step explanation:
Slope is a rate of change, which is what B is
what is the percent increased from 22.5 to 27.5
Answer:6.27
Step-by-step explanation: 22.8 increased by 27.5%
27.5% × 22.8 = 6.27
27.5 ÷ 100 × 22.8 = 6.27
27.5 × 22.8 ÷ 100 = 6.27
627 ÷ 100 = 6.27